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Finding the Fourth Proportional to 6,734.64, 9,295.34 and 4,372.68

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Solution

The fourth proportional to 6,734.64, 9,295.34 and 4,372.68 is: 6,035.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,734.64 : 9,295.34 = 4,372.68 : x
  2. Step 2: Convert to fraction form
    6,734.64/9,295.34 = 4,372.68/x
  3. Step 3: Cross multiply
    6,734.64x = 9,295.34 × 4,372.68
  4. Step 4: Simplify right side
    6,734.64x = 40,645,525.45
  5. Step 5: Solve for x
    x = 40,645,525.45/6,734.64
  6. Step 6: Final answer
    x = 6,035.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.